Double Time Formula – Problem Solution with Solved Example

Double Time Formula

The total time span taken to double quantity or size of a product is called the doubling time. The double time formula is applicable for multiple domains like population growth, finance, compound interest, and many other fields. If you know the constant growth rate then double time can be calculated quickly with the help of double time formula as given in mathematics.

The time is calculated by the dividing the natural logarithms of two or the exponent of growth. Here is the double time formula as given in mathematics –

\[\LARGE T_{d}=\frac{\log 2}{\log (1+r)}\]

Where,
Td = doubling time
r = content growth rate

The most useful application of
double time formula can be seen in calculating the time required to double the
investment or interest on bearing account. When you will see carefully, r is
constant rate of growth per period. If one wanted to calculated the compounded
interest on their invested money that will be added monthly then r will express
the monthly rate of growth here. And the annual growth rate can be calculated by
dividing the value with 12.

In this situation, the double
time formula will always give you the total number of months that it will take
to double the amount not the years. Additionally, the rule 72 also work in the
same way but the rate of interest is always as a whole number here. This is
quite common in financial industries that are designing attractive investment
plan frequently or another common example bank investments.